Precalculus · Problem 50

Rational Functions — Stitz & Zeager

Mathematics — Precalculus · constructing-polynomial-from-zeros

Problem

Create a polynomial

f

with real number coefficients which has all of the desired characteristics. You may leave the polynomial in factored form. •

c = 2i

is a zero. • the point

(-1, 0)

is a local minimum on the graph of

y = f(x)

• the leading term of

f(x)

117x^4